2. A jar contains blue, red, yellow, and green marbles. P(blue)=1/4. What type of probability is illustrated and why?
A. Experimental; the result is based on the number of possible outcomes.
B. Experimental; the result is found by repeating an experiment.
C. Theoretical; the result is based on the number of outcomes.
D. Theoretical; the result is found by repeating an experiment.
I think the answer is B. Am I right? Thanks.
Nah, I do not have to do an experiment.
there are four equally likely outcomes.
The answer is actually D. Theoretical.
In this question, the probability given is P(blue) = 1/4. The fact that this probability is determined based on the number of outcomes, rather than by repeating an actual experiment, indicates that it is a theoretical probability.
Theoretical probability is based on mathematical calculations and the assumption that all outcomes are equally likely. It is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case, since the probability of drawing a blue marble is given as 1/4, it means that out of all the marbles in the jar, one-fourth of them are blue. The probability is determined without actually performing an experiment or conducting multiple trials.